Abstract
We propose two mathematical models for predator-prey interactions allowing for prey refuge. The novelty lies in the assumption that the amount of prey in refugia is proportional not only to the encounters between prey and predator, but also it is modelled by a Holling type II response function. The second model also accounts for predator's intraspecific competition. We fully analyse the models and discuss all possible coexistence equilibria configurations and their local and global stability. A saddle-node bifurcation analysis is also performed for a wide set of parameter ranges. The ultimate behavior of the systems depends mainly on two relevant parameters, the prey refuge constant and the predator's intraspecific competition.
| Original language | English |
|---|---|
| Pages (from-to) | 248-256 |
| Number of pages | 9 |
| Journal | Ecological Complexity |
| Volume | 20 |
| DOIs | |
| Publication status | Published - 1 Dec 2014 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 15 Life on Land
Free Keywords
- Bifurcation
- Intra-species competition
- Predator-prey
- Refuge
- Stability
ASJC Scopus subject areas
- Ecology, Evolution, Behavior and Systematics
- Ecological Modelling
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